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We perform a fit of the real Compton scattering (RCS) data belowpion-production threshold to extract the electric ($\alpha_{E1}$) and magnetic($\beta_{M1}$) static scalar dipole polarizabilities of the proton, usingfixed-$t$ subtracted dispersion relations and a bootstrap-based fittingtechnique. The bootstrap method provides a convenient tool to include theeffects of the systematic errors on the best values of $\alpha_{E1}$ and$\beta_{M1}$ and to propagate the statistical errors of the model parametersfixed by other measurements. We also implement various statistical tests toinvestigate the consistency of the available RCS data sets belowpion-production threshold and we conclude that there are not strong motivationsto exclude any data point from the global set. Our analysis yields $\alpha_{E1}= (12.03^{+0.48}_{-0.54})\times 10^{-4} \text{fm}^3$ and $\beta_{M1} =(1.77^{+0.52}_{-0.54})\times 10^{-4} \text{fm}^3$, with p-value $= 12\%$.

Proton scalar dipole polarizabilities from real Compton scattering data, using fixed-t subtracted dispersion relations and the bootstrap method